Converse of the pythagorean therom
2 answers:
The pythagorean theorem states that if a triangle is a right triangle, then the sum of the squares of the legs of the triangle is equal to the square of the hypotenuse or a² + b² = c².
The converse of the pythagorean theorem on the other hand states that if the sum of the squares of 2 sides of a triangle is equal to the square of the third side or a² + b² = c², then the triangle is a right triangle.
The converse switches the order of the <em>if</em> and <em>then</em> statements.
On the whiteboard, I have also written it.
Image provided.
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Answer:
(a) 93.19%
(b) 267.3
Step-by-step explanation:
The population mean and standard deviation are given as 502 and 116 respectively.
Consider, <em>X</em> be the random variable that shows the SAT critical reading score is normally distributed.
(a) The percent of the SAT verbal scores are less than 675 can be calculated as:
Thus, the required percentage is 93.19%
(b)
The number of SAT verbal scores that are expected to be greater than 575 can be calculated as:
So,
Out of 1000 randomly selected SAT verbal scores, 1000(0.2673) = 267.3 are expected to have greater than 575.